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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Wilson Loop"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These codes are used to load wilson loop data and show wilson loop."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def jackknife(data,jaxies=0):\n",
    "    nconf = data.shape[jaxies]\n",
    "    jdata = (np.sum(data,jaxies)[np.newaxis,...]-data)/(nconf-1)\n",
    "    aver = np.average(data,jaxies)\n",
    "    error = np.std(jdata,jaxies) * (nconf-1)**0.5\n",
    "    return jdata,aver,error\n",
    "def effectivemass(data,confaxies=0,axies=1):\n",
    "    nconf = data.shape[confaxies]\n",
    "    tmp = -np.log(np.roll(data,shift=-1,axis=axies) / data)\n",
    "    aver = np.average(tmp,confaxies)\n",
    "    error = np.std(tmp,confaxies) * (nconf -1)**0.5\n",
    "    return tmp,aver,error\n",
    "def showwilsonloop(aver,error,plotr=None,filename=None,**params):\n",
    "    plt.figure()\n",
    "    if \"title\" in params.keys():\n",
    "        plt.title(params[\"title\"])\n",
    "    else:\n",
    "        plt.title(\"Wilson loop\")\n",
    "    if \"yscale\" in params.keys():\n",
    "        plt.yscale(params[\"yscale\"])\n",
    "    if \"ylim\" in params.keys():\n",
    "        plt.ylim(params[\"ylim\"])\n",
    "    if \"xlim\" in params.keys():\n",
    "        plt.xlim(params[\"xlim\"])\n",
    "    if \"xlabel\" in params.keys():\n",
    "        plt.xlabel(params[\"xlabel\"])\n",
    "    if \"ylabel\" in params.keys():\n",
    "        plt.ylabel(params[\"ylabel\"])\n",
    "    trange = np.arange(aver.shape[0])\n",
    "    for i in plotr:\n",
    "        plt.errorbar(trange,aver[trange,i],error[trange,i],label=\"r = %i\"%i)\n",
    "    plt.legend()\n",
    "    if filename is not None:\n",
    "        plt.savefig(filename)\n",
    "    else:\n",
    "        plt.show()\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.load(\"./purgauge_2432_WilsonLoop.npz\")\n",
    "wilsonloop1,wilsonloop2,wilsonloop3 = data[\"arr_0\"],data[\"arr_1\"],data[\"arr_2\"]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "wilsonloop1=np.loadtxt(\"./wilsonloop1.txt\").reshape((-1,24,24))\n",
    "wilsonloop2=np.loadtxt(\"./wilsonloop2.txt\").reshape((-1,16,24))\n",
    "wilsonloop3=np.loadtxt(\"./wilsonloop3.txt\").reshape((-1,16,60))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* wilson loop 1 for space-like planar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "wilsonloop1_j,aver_wilsonloop1,error_wilsonloop1 = jackknife(wilsonloop1)\n",
    "showwilsonloop(aver_wilsonloop1,error_wilsonloop1,plotr=np.arange(5),yscale=\"log\",xlabel=\"$\\hat{t}$\",ylabel=\"w(t,r)\",title=\"space-like wilson loop\",filename=\"wilsonloop1.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "wilsonloop1_mass,aver_wilsonloop1_mass,error_wilsonloop1_mass = effectivemass(wilsonloop1_j)\n",
    "showwilsonloop(aver_wilsonloop1_mass,error_wilsonloop1_mass,plotr=np.arange(5),xlim=(0,10),ylim=(0,2),xlabel=\"$\\hat{t}$\",ylabel=\"$\\hat{V}(t,r)$\",title=\"space-like wilson loop\",filename=\"wilsonloop1_V.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* wilson loop 2 for time-like planar "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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1gdp6qoQ0GpHl5dg5n5/Ejs+NZ+5fc4nKiuKGjjcwd+Bc3Bwv7fR4jqR98PsrcHoLuHrBoEdgwHRwbVXr2OpKudHE3jNnWRelZ0O0npTcEnPPDW8iI3SMC9eh81RnNRTNm/O2YX57BvRHqr9Jf1j7r65H9dfqusM1r1/y5fj4eEaOHElcXFwNoq0ZH3/8MXv37rXK1tMVtaKwlPQ3F1F84ADBK5bj4ONz7vkQzxA+vfZT3j34LiujVrIvbR8Lhy2kl3+vyw8Y3Bfu/h6S9sLWRbBlgZbHGPiAdmjPzefy91sBB3u7c42Y5l0X/s9ZjWg9L/4QzYs/RNOrTatzZbftfWsggAqFwupYy2a8PlArikrkbdhAyv89jYOPD23efw/nKraw9qft59ltz6Iv1DOjxwxm9JiBg10N9Tb1MPy1CGJ+BMcW0P9eGDwT3ANqHas1OJmef85K5EhyLgCdA7Sy23EROiKCVNmtonnQ2Mlsa9qMV2DNFYUSigsoPnKExIceRpaWEvz2W7gNvtgZMr8sn9d3v86Pp36kh28PFg5bSFuPtjWfJP0o/LUYotZq/S/6TIWhj4FncJ1itgZJZ4vYEJ3G+mg9e+KzMUkI9nIl0nxWo287L1V2q7hiudKEIiQkhLy8PMrKymjVqhUbNmwgPDz8vGuUUFhYHmtITibxwQcpjYsncP48Wt1yS5XXrYtfx8s7XqbcVM4zA55hYujE2n0DzzoF2/4Dh9YAAnrdAVfNBu/2dY7dGmQVlGplt9FpbDuRSZnRhG9Lrex2XIQqu1VceTS2UDQGSiisYApozM8nedZsCrdvx2f6dPxmz0JUUdesL9Tz3Lbn2K3fzZi2Y5g3eB6tXGqZrM5J0Jxq938KJiP0mARXPQF+nS16D9Ygv8TAH8cyWB+tP9dXw93ZgZFd/Rlv7qvh5qxSXYqmjRIKjSYrFEKIDsBzgKeUsuqv9hdgLfdYaTCgX/AqOV99hfv48QS9vhC7KmqTTdLEp9Gf8taBt/By9mLBVQsYEnQZv6hLkZcKf78Dez+C8hKImAjDngRdN4vfizW4sOw2u7DMXHbrS2SETpXdKposysJDo1GEQgjxETABSJdSdqv0/HjgLcAe+FBKeem6sX/uWVvfQpGRkE9WSgFdBwWee05KSfZHq0hftAjXHj0uqoiqzNHsozy99WlO556u3i/qchRkwM7lsPsDKCuALv/SemG07lP7seqJirLb9dF61kf9U3Y7IMSb8d10jIsIINDTtbHDVChqhBIKjcYSiuFAAfBphVAIIeyB48BYIAnYA9yOJhoLLxjiXilluvm+eheKDR9GcWJfOqOmdCVsSNB5r9WkIgou9ot6Y/gbdPaq4xZSUTbs/q/WPKkkF0LHwPCnoO2guo1XT0gpiUrOY110Kuuj0ziZXgBAz2BPxkXoGN9NR0c/5XarsF2UUGg02taTECIE+LmSUAwG5kspI82P5wJIKS8UiQvHqXehKDcY+fXdIyTGZjNqShhhQwLPe70mFVEVVPaLmhYxjfu7308Lxzr2kyjJ09qz7lgGRVnQbqiWwwgdbVV7c2txKqPg3ErjUJJWdhvq35LIiAAiI3R0b+2pym4VNoUSCg1bEopbgPFSyvvNj6cAA6WUj17ifh/gVbQVyIeXEhQhxAxgBkDbtm37njlzpk7xlpcZ+fXdwyQePVulWGgVUQ9RGhd32YoogOySbN7c8yY/n/4ZnZuOp/o9xdh2Y+v+IVlWCPs+0QQjLxkCumsd98JvBHvbTChXuN2uj9azK+4ft9ux4Zpo9A/xwsFeWY4pGhclFBq2JBS3ApEXCMUAKeVMa81paTK7sliMvjuMroPPF4uaVkRVsD9tP6/teo1jZ48xMHAgcwfMpWOrjnWOj/IyOPI/2LYUsk6AVwgMeUzruOdou3YcZyvcbqPT+OtEBqXlJrxaODImLIDx3XQMDfXFxVGV3SoanroIxT3r7gFg1fhV9RFSndm4cSPPPPMMZWVlODk58eabbzJq1KiLrrN1oajT1lMN57JaK9TqxKKmFVEVGE1Gvj7+NW8feJtiQzF3ht3Jgz0fpKWTBXv3JhMc+wW2LYHkfeDmrxkS9r8PXDzrPm4DUFhazp/HtbLb32PTyS8tx83JnhFd/BkXEcCorv64uzg2dpiKZoItCYWlNuMHDhwgICCAoKAgoqKiiIyMJDk5+aLrbF0oHNCS2aOBZLRk9h1SymgrzGXVntnlZUZ+WXGYpGNnGT017LxqKDBXRK36mPQ336y2IqqC7JJs3t7/Nt+e+BYfVx+e6PsEEzpMsGzPXkqI/0tbYZzaDM4emt35oIcbzR6kNpSVm9hxOov10Xo2RKeRWVCKo71gaOg/Zbd+7nWoHlMoakhjC0V8fDzXXHMNI0eOZMeOHXz//fe0a9fO4nGllPj6+pKSkoLzBWanNiMUQojVwAjAF0gD5kkpVwohrgWWolU6fSSlfNWa81rrHAWAoczIr2axGDM1jC4XiAVA3saNpDz1f9VWRFUmKjOK13a9xpHMI/T2782zA5+lq3dXywNOPaQJRsz3YOeonfYeMhN8LNjqakCMJsmBBHPZbXQaCdlFCAH92nmdsxNp413HogCF4hLYglB06NCBv//+m0GDLq5qrKsp4Nq1a3nvvffYtGnTRa/ZjFA0FtYUCqiZWNSmIqoCkzTxw8kfWLJvCblludza+VZm9p6Jp7MVto2yTmmH9w5+AaZyLeF91SwI7Gn52A2ElJLY1HyzaOg5qteaQIUHepxzu+0c0FJVUCkspvKH5hu73+Bo9tFq76m4piZf8Lp6d+XpAU9f8vX6sBmPjo7m+uuvZ8OGDXTsePEXxWbb4U4IcZ0Q4r+5ublWHdfRyZ5rH+5B685ebPoklmO79Bdd49q9O+2/WoOjTkfC9BnkrF1b7bh2wo6JnSby08SfmNxlMl8f/5oJ301g7fG1GE1Gy4L26QjXLYVZR7RE94mN8P5w+PxmiN+mbVfZOEIIwoM8mD22M+tmDefPp0bw7LVdcXWyZ8mm40Qu3crIRX+w8LdY9iecxWSy/fekUFyK6mzGe/XqddGf11+v+qxyUlISEydO5NNPP61SJGqLWlHUAkOZkV+WHybl+FlGTwuny0DdRdfUtiKqMseyj/HartfYn76fCJ8Inh34LD38atAUpSYU52jWIDtXQGEGBPfXDAg7XwN1TJo1Jul5JWyI0cpud5zKotwkCfBwZly4ttIY2MEbR1V2q6ghtrD1ZC332JycHK6++mpefPFFbr755kte12y3nqydzK4KTSwOkXI8hzH3hNN5wMViIcvL0b+yQKuIiowk8NUF2LesWXWTlJJf435l8d7FZBRnMDF0Io/3eRwfVys1OTIUa9tR29+GnDPg2wWGPg7dbwWHpunTlFtk4PdjaayPSuPP4xkUG4x4ujoyuqs/kd10DO/kh6uTKrtVXJorSSgWLFjAwoUL6dSp07nnNmzYgL+//3nXNVuhqKC+VhQVGEqN/LKiGrGoqIhatAjHwEACF76G24ABNZ6j0FDI+4fe57OYz3B1cOWR3o9wW5fbat4kqTqM5VrCe9sSSIsC9yAY/DD0nQbO7taZoxEoLjOy9YRWdrs5Np3cYgMujnZc3dmP8d10jOoagKerKrtVnE9jC0VjoISinoUCzGKx/BApJy4tFgBF+w+QMvcZDAmJeN99N36zZ132vMWFnM49zcJdC9mZupNOXp14dsCz9NNd9O9Yd6SEk5th+1KtxNbZUzuHMfDBJlFaezkMRhO747K1fuExetLySnGwEwzu6GPuFx6Av4ftHlBUNBxKKDSahVA0xNZTZc4Ti3vD6dy/arEwFRWRvmgxZ7/8EqcOHQh64w1cu9fcOlxKyeaEzfx7z79JLUwlMiSSWX1mEexu5Y54yfu0vhgxP2qd93rdriXCm0hp7eUwmSSHknJYZz6rEZdZiBDQu02rc2W3IapfeLNFWXhoNAuhqKAhVhQVGEqN/LzsEKkncxh7bwSd+l/6W3jB9u2kPvc85RkZ+D7wAL4PPYhwrPk2SHF5MauiVrEqahVGaeTOsDuZ3mM6Hk4e1ngr/3CutPZLMJZB2HUwdBYE97XuPI2ElJIT6QWsj9KzLlpPdEoeAF0C3InspiMyIoDwQNUvvDmhhEJDCUU9cp5Y3BdBp36XFgtjXh5pr75G7g8/4BIeTtAbr+NcKelUE9IK03jnwDv8eOpHPJ09ebDng0zqMglHOyvvveenwe73NefaklwIGaYlvkPH2KRrbV1JzC46V0G1V/ULb5YoodBoFkLR0FtPlSkrKeeX5YdrJBagnebWz5uPqaAAv8cfx3vaVIR97SpzjmYfZdGeRezS7yLEI4TZfWczss1I638TLs3XXGt3rtBca/0jNMHodhPYX1mJ4cyCUjaZRWP7ySzVL7yZoIRCo1kIRQUNvaKooKyknJ+XHUJ/Oo+x94ZXKxblWVmkzptHwabNuPbtS9DrC3Fq06ZWc0op2Zq0lcX7FhOXG0e/gH7M6T+HCJ8IS97KJQIug6i1Wh4j4yh4toHBj0DvKeB85TUmqqpfeEtzv/DIiABGdPGnpeoXfkWghEJDCUUDUVksxt0XQWhf/8teL6Uk94cfSFvwKtJkIuD//o9Wt02q9arAYDLwzfFvWHFwBWdLz3Jdh+t4rM9j6NyqTrBbhMkEJzZogpHwN7i0ggEztD8t/aw/nw1QWm7k75NZrIvSsyk2jSxzv/BhFcaF4QF4q37hTZa6CMWZKXcD0O6zT+sjpDqze/duZsyYAWifL/Pnz2fixIkXXaeEohGFAmovFgCG1FRSn3uOwr934DZsGIELXsExoPblqfll+Xx45EM+j/kcIQR3h9/Nfd3vw82xnip6EndrgnH0Z3Bwgd53aasM7w71M58NYDRJ9sZns97ckCk5pxg7Af3P9QvX0bqV6hfelLAlobDUZryoqAgnJyccHBxITU2lZ8+epKSk4OBw/upXCUUjCwWcLxaDb+xIr7Ftql0lSJOJs6tXk/7mIoSTE7oXXsBjwr/qlHNILkjmrf1v8Vvcb/i4+PBI70eYGDrRegf2LiTjOPz9NhxaA9KomRAOfQyCetfPfDaClJLolLxzxoXH07R+4d1be5qNCwMI9W+6BxibC40tFPVlMx4XF8egQYNITk5WQlFBYyazq6KspJzNn8Ry+kAGHXr5MWpqGM6u1X9Ql8XHk/LMXIoPHsQ9MhLd/Hk4eHnVKYbDGYdZtHcRB9IPENoqlDn95jC09dA6jVUj8lJh17uwdxWU5kH7qzXX2g4jr6hKqUtxOqPg3ErjYGIOAB383M5VUPUMVv3CbRFbEApr2ozv2rWLe++9lzNnzvDZZ5+praeqsIUVRQVSSg5tTuTvb0/h7uPCNQ90wze4+m+Y0mgka+VHZLzzDvaengS+/DLuo0bWOYZNCZtYsm8JifmJDA0aypP9nqSTV+3KcmtFSa4mFjvfhQI96HpolVI23N/b2uhzS9gYo53V2Hla6xce6OnCOHO/8AHtvVW/cBuh8oem/rXXKI2t3ma85Kh2jUvX6m3GncO6onv22Uu+Xh8246C9r6lTp7J161ZcLnCEaLY247aIEIJeY9py4xO9MZYZWfvGPmL/Tqn+Pnt7fGdMp/3ar3Hw9SXp4YdJefY5jAUFdYphbLux/HDDDzzV7ymOZB7hlp9uYf7f88kszqzL26oeF09tJTHrMFz/jmZG+M198E5v2PVfKCuqn3ltCJ2nC1MGh/DF/YPY9/wYFt/ak+6tPVmzJ5E7PtxF/1c3MefrQ2yMSaPEYKGtvKLJY02b8QrCwsJwc3Oz2GxQrSgakKK8MjasjCb52FnChgQyfHJnHGrgairLyshYvoKsDz7AQRdA4Muv0PKqum8f5Zbm8t6h91hzbA1Odk7c0+0e7g6/mxaO9dg5zmSC479p3feSdoOrNwx8APpPBzcrOeM2EYrKytl6PIP10Wlsik0jv6ScFk72jOjiR2SEjpFd/fFQ/cIbFFvYerKWe2xcXBxt2rTBwcGBM2fOMHjwYA4fPoyvr+9516mtJxsVCtA8h/b8HMfeX+PxCW7J+BndaOVfsw/o4oMHSZn7LGVxcXhcdx0BzzxdbY/uy5GQl8CSfa98Rq0AACAASURBVEvYlLAJP1c/Hu71MDeG3lh/CW/QTAgTdmqVUsd/A8cW2jmMwY+Al+XJu6ZGWbmJnRX9wmPSyMjX+oUP7ujL+AgdY8NVv/CG4EoSis8++4zXX38dR0dH7OzsePHFF7nxxhsvuk4JhQ0LRQXxRzLZtCoGaZKMnhZOh141O39gKi0l6/3/kvnBB9i3aIH//z2F5003WZQgPZh+kMV7F3Mw4yAdPDswu+9srg6+uv6TrumxmqfU4a80Ael2k2ZCGGilZk1NDJNJciAx51wF1Zks1S+8oWhsoWgMmq1Q2FrVU3XkZRaz/oMo0s/k02tsWwbd2AH7GiY3S0+eJHXefIr37aPFgAHo5s/HuUP7OscipeT3hN9Zun8p8Xnx9A3oy5N9n6S7X/c6j1ljcpM1e5B9H0NZAXQcpZkQth/eLCqlqkJKybG0fNZF6VkfnUZsqmZcqPqF1w9KKDSahVBU0BRWFBUYDSa2fX2CqK3JBIZ6Enl/N9xa1WyrQZpM5KxdS/qixcjiYnwefACf6dOxc6r7CWGDycB3J75j+cHlZJdkExkSyeO9H6eNR+2sRepE8Vlzu9b3oDBdO4Mx9HEIux7smre/UkJWEeujtQqq/QlnkRLa+7oxLiKA8RE6ega3wk4ZF9YZZeGhoYTCxjm2S88fXxzF0cWBcfdFENyl5ucmyjMySFu4kLxff8OpQwcCX36JFv0sa25UaCjkk+hP+Dj6YwxGA5O6TOKBng/g7eJt0bg1wlACh1ZrB/iyT4NXexgyE3rdAY7qxPOl+oVXbE8NaK/6hdcWJRQaSiiaAFkpBax7P4rc9CIG3tCBPuPaIWrxLbFg61b081/CkJJCq1tvwX/OHOw9PS2KKaMog3cPvcu3J77FxcGF+7rdx13hd+Hq0AAf2CajZg2ybSmk7IcWvlrnvf73QYsGEKwmQEW/8HVRev48nkGJwUSrFo6M7hrA+G46hnXyxcWxea/GaoISCg0lFE2EspJytnx+lJN70wnp7sPoaeG4uNW8VNJUVETGsuVkf/IJ9l5eBMx9Bo9rr7V4L/t0zmmW7l/KlsQt+Lv682jvR7m+4/XYN8SWkJRwZrtWKXVig1Yp1Weq1uO7Vdv6n7+JUFxm5M/jGWyI1owL88xltxX9wlXZ7aVRQqGhhKIJIaXkyB/JbF97ArdWzoyf0Q3/drXrYlcSE0PqCy9SEh2N27Bh6Oa9iFOw5a1T96ftZ/G+xRzOOExoq1Bm953NsNbDGi6pmhatVUod+dpcKXWz5imla4CkexPCYPyn7HZ9tFZ2K4Bhnf2IjAhgbHgA/u6qX3gFSig0lFA0QfSnc1n/QRRF+WUMm9SZiGFBtfpAlkYjZ7/4gvSlb4HJhN/MR/GeOhXhYNk5iQpLkKX7lpKQn0B/XX+e7PskEb710APjUuQmafYg5yqlRmuJ72ZcKXUptLLbs+c8qCrKbvu2/afstq1P8y67rYtQfLd4PwATn+xTHyFZTEJCAuHh4cyfP585c+Zc9PoVJxRCiBuBfwH+wHIp5YbLXX+lCAVAcUEZmz6KISEmmy4DdVx9RxccnWu33WNISUH/ygIKtmzBOSyMwJdfwrW75d/ADSYDa4+v5b1D75Fdks01Idcws89M2rg3QIVUBRdWSgX2+qdSqpl4StWGirLb9VGaaMSYy2676tzPiUZYoHuzK7u1JaGw1Ga8gptvvhk7OzsGDhxo+0IhhPgImACkSym7VXp+PPAWYA98KKW8vGmJdo8XsEhKed/lrruShAK0b4T7fotn989xeAe6ETm9G96BtesvIaUkf8NG0hYsoDwrC68778Tv8cexb2l5n4qCsgJWRa/is5jPMJgMTO4ymRk9ZuDlUjfH2zphKIHDa2D725B9CrxCYPCj0OtOcGre35YvR2J20bkDfnvPaGW3bb1bEBmhGRf2aevVLMpuG1sorG0z/v3337N9+3bc3Nxo2bJlkxCK4UAB8GmFUAgh7IHjwFggCdgD3I4mGgsvGOJeKWW6+b7FwBdSyv2Xm/NKE4oKEmKy2PhRDIZSI4Nv7EiPkcG1qooCMObnk7FkCWdXr8EhIADdiy/gPmqUVeJLL0pnxcEVfHfyO1o4tOCebvdwV9hd9eshdSEmIxz7VauUSt4LLXxgwAMwYLqqlKqGjPxSNsVW9AvPxGCU+LZ0Zmx4AJERAQzp6IuTw5VZdmsLQmEtm/HCwkLGjBnDxo0bWbRoUdMQCvPkIcDPlYRiMDBfShlpfjwXQEp5oUhU3C+A14GNUspN1c13pQoFQGFuKVs+P8qZI1m07uLF6KlhuHvXPilZdOAA+hfnUXriBO5jxxDw7LM4BgZaJcbKFVJ+rn481Ouh+m2aVBVSQsIOs6fUOrOnlLn7nldIw8XRRMkrMbDlaDobotPYciydojIj7i4OjOrqT2SEjqs7++F2BfULr/yh+df/jpOZWL1Lc2ZSPkCN2gb4tmnJsEmdL/m6NW3G58yZw4ABA5g0aRLz589v0kJxCzBeSnm/+fEUYKCU8tFL3P8YMBVt5XFQSvleFdfMAGYAtG3btu+ZM2fq4Z3YBlJKYralsG3tSezsBMNv60Tngbpa7yvLsjKyVn1M5ooVYG+P3yOP4H33FISjdUooD6Qf4D97/8PBjIOEeIQwq88sRrUd1fD73+c8pf6ndd+LmKjlMQJ7NmwcTZQSg5HtJzNZH61nU2w62YVlODvYMayTL+MidIwJa/r9wm1BKC5nClibFcWwYcNITEwEICcnBzs7O15++WUeffT8j9emIBS3ApEXCMUAKeVMa8x3Ja8oKpObUcTmj2NJPZVLx95+XH1nF1xb1v4XtiwpibQFr1Lwxx84d+qEbv48WvTta5UYpZRsSdzC0v1LicuNo6dfT57o+wR9AhqhUiQ32dx972Moy9e67l01S+vC18ySt3Wl3GhiT/xZze02Wk9Kbgn2doIBId5ERgQwLkJHUBPsF24LW0/Wco+tjLVWFI214ZgEVC6NCQaq7+ZTDUKI64QQ/83NzbV0qCaBp18LbnyyD4MndiTucCarX95N/JHaNyJyCg4m+N0VBC9fhrGwgDN33kXKs89Rnp1tcYxCCEa1HcW313/L/MHzSS1IZeq6qczcPJOTZ09aPH6t8GwN4xbA7CgYPU87k/HpDfDfERD1rZbfUFwWB3s7Bnf0Yf71EWx/ZhQ/PXoVD13dkcyCUub/FMOQ13/n+mXbWL7lJCfT8xs7XIWVaKwVhQNaMns0kIy2pXSHlDLaGvM1lxVFZTKT8tm0Koas5ELChwUx9OZQnFxqv4dsKioi8913yVr1MXZubvg/+QStbrkFYWGpXgXF5cV8EfsFK4+spKi8iBs63sDDvR5G56azyvi1oqpKqSEztUop5SlVayr6ha+L1nOoUr/w8eay2x423C+8sVcUjYFNbT0JIVYDIwBfIA2YJ6VcKYS4FliKVun0kZTyVSvM1aRsxq2N0WBi14+nObApAQ8fF8ZMCycwtFWdxio9cQL9Sy9TtHcvrj17ops/DxcrnlzNKcnhgyMfsProauyEHXeG3cm93e7F09kyb6o6YTLC0V9g+1JI3qc8payAPreEDTFa2W1T6BeuhEKjSR+4qy3NcUVRmZQTOWz6OIaC7BJ6j2vHgOvaY1+HskYpJbk//ED6v9/EmJOD11134vfYY9i3bGm1WJMLkll+YDk/n/4Zdyd3pnefzu1ht+Ns3whd3So8pbYthZMbwdEN+k7TPKU8Lbc/aa7kFJWxOTad9dGacWFp+T/GhZERAQzv7NfoxoXKwkOjWQhFc19RVKaspJxtX58gdnsqPsEtGXtPOD6t6/YBb8zNJX3JEnK++h8Ofn4EzH0G9/HjrbqNcCz7GEv2L2F78nZ0bjoe7fUoEzpMaBjTwarQR2k250fWaonu7rdq3fcCwhsnniuEyv3CN5uNC10dz+8X7una8MaFSig0moVQVNDcVxSViTuUwZbPj1JaXM7A6zvQa0zbOp+0LT50iNSXXqI0Jha3oUPRvfA8TiEhVo13V+ouluxbQnRWNJ28OjGrz6yGNR28kJwE2LEc9n8KhiLoFKlVSrUdrCqlLKSyceGG6DTS80txsBMM7ujDuAgdY8MC0Hk2jHFhbGwsXbt2tdkcirWRUnL06NHmKRRqRVE1xfllbPn8KHGHMgkM9WTMtHA8fOuWrJVGI2dXryFj6VJkWRk+06fjM2M6ds7W2yoySRMbzmzg7f1vk5ifSH9df57o+wTdfLtVf3N9UZQNuz+A3e9DURYE99fatXa5FqyU6G/OmEySg0k5bIhOY0O0ntOZhQD0atOKcWY7kY5+1tvyvJC4uDjc3d3x8fG54sVCSklWVhb5+fm0b39+++RmIRQVqBXFxUgpObZTz9avjoOEqyZ1ImxIYJ1/KQzp6aS/8W/yfvkFx7Zt0b3wAi2HXWXVmA1GA2tPNLLp4IWUFcHBL7RtqZwE8Omk2Zz3uA0cGiGvcgUipeRkesG5Ln6Hk7Ry945+bkRG6BgXoaNHa0+relAZDAaSkpIoKSmx2pi2jIuLC8HBwThecLhWCYUCgLysYn7/JJbk4zmE9PBl5F1daeFR91O1hTt2oH/pZcri43GPjCTg2bk4BgRYMWKtLetHUR/xafSnlMtybu96Ow/0eKBxKqQqMJZDzPdapZT+CLTUwaAHoe894Fq3SjNF1aTkFLPRLBq74rQKKp2Hi9mDSsfADqr1q7VoFkKhtp5qhjRJDv2eyM7vT+Pkas+IO7rSobdfncczlZWRvXIlme+9j7C3x3fmTLzvutNqViAVpBWmseLQCr4/+T1ujm7M6D6j8SqkKpASTv2urTBO/wFO7tB3Kgx6WDvgp7AqFRVUG2L+af3q4eLA6LAAxoUHcHUXP1o4XTkeVA1NsxCKCtSKomZkJRew6eMYMhML6NTPn2GTO9fJAqSCssRE9AsWUPjnVpxCO6J79lnchgyxYsQax88eZ8m+JWxL3kaQWxAz+8zk2vbXYica+Vtl6iHt8F70d1qiu9st2rZUQAM2dGpGFJcZ+euEuYLqaBo5RQazB5Uf4yICrggPqoZGCYWiSoxGE/vXnWHvr/E4t3Bg+OQuhPb1r/N4UkoKtvxB2sKFGBITcR87Fv+nn8Yp2Prfrnem7uQ/e/9DbHYs4T7hPNn3SQYEDrD6PLXm7BnYueKfSqnQMZoJYcgwVSlVT5QbTeyOzz6XDE/JLcFOQP8Qb3NeI4BgL9WXpDqahVCorae6k5VcwOZPYslIyKdjbz+G397FotyFqbSU7I8/IfO998Bkwue++/CZfj92rta1xjBJE7+c/oV3DrxDamEqw4OHM7vPbEK9Qq06T50oyoa9K2HX+1CYYe6+9xiE3aC679UjUkqikvO0stsYPcfTNCfYiCAPxoXriOwWQJeA5tfFryY0C6GoQK0o6obJaOLAxgR2/xyHo7M9wyZ1pvOAAIt+oQx6PemLFpP38884BAYS8PT/4R4ZafVf0lJjKV/EfsGHhz+ksLyQiaETeaTXI/i1qHvuxWoYSuDQatixDLJOQqt2Wve93neCk+UdBhWXJy6zkA3mLn4HEnOQEtr5tGBcuOZ226etF/bNoItfTVBCoagx2amF/P5pLGlxeYT08GXEHV1wa2VZwrho7170r75GaWwsLQYMIOC553Dpcml//rqSU5LD+4ffZ82xNTjaOTI1YirTIqbh5mgDH8gmk9Z9b/tbkLQbXL1gwAztj5tvY0fXLEjPK2FjbBobotP4+1RFFz8nxoRpFVRDQn1wdmhcO5HGRAmFolaYTJLDvyey84fTODjaMfSWTnQdXPvmSJWRRiM5X39NxpKlGPPz8br9dvxmPop9K+uXkybmJfLWgbdYH78eHxcfHu71MDd1uqlhu+xdjoSdWuL72C/g4AK97tBWGT4dGzuyZkNeiYE/jmWwPlrPH0fTKSwz4uZkzwhzF78RXfzwcGl4O5HGRAmFok7kpBXx+2expJ7MpW2EDyPu7FKn1quVMebkkPH2O5xdswZ7Dw/8Zs2i1a23IOyt/03ucMZhFu9dzP70/bT3bM/sPrMZ0WaE7exPZxyHHe/AoTVgNEDYdVriO/ii31VFPVJabuTvk1lsiNGzMSaNzIIyHO0FQzr6Mi4igLHhAfi7N4ydSGPSLIRCJbPrB2mSHPkziR3fnULYCYbeHEr4VUEWf9iWHDtG2oJXKdqzB+fwMHTPP0+LPta3bK7osrdk3xLi8+LpG9CXJ/s+SXe/7lafq87k67Wk996VUJIL7YZqJoSdximLkAbGaJLsTzhrzmukkZBdhBDQu02rcyfD2/vawFZmPdAshKICtaKoH3IzitnyeSzJx3II7urFyLu61tkzqgIpJfnr1pH2xr8p1+vxmDAB/6fmWP10N4DBZODb49+y4tAKzRKk/TU83udxWre0oYNxpfmw/zPNiDAvCfy6aoLR/VZwUGcCGhopJcfS8tkQrZ0Mj07JA6BzQEtNNMJ1dGvtYTsrVAtRQqGwCtIkid6Wwt/fnEQCQyZ2pNvw1ggLq0ZMRUVkffghWR+uBAcHfB98EO9pU7Fzsv6HY2VLEKM0clfYXdzf4348nDysPledMRq0g3vb34K0KHAPhEEPaf0xXBrRuqSZk5hddM5OZE98NiYJrVu5MjY8gHERAQwIsa2GTLVFCYXCquRnl7Dl86MkxmQT1KkVo+7uiqef5QeaypKSSH/jDfI3bsKxbVsC5j5DyxH1k1PQF+p558A7/HTqJzydPXmw54NM6jwJR3sbSmBWWIRsfwvi/gRnD00sBj0EHkGNHV2zJquglM1H09kQrWfriUzKyk14tXA8ZydiCw2ZaovFQiGE8AKCgGIgXkppsm6I1kMJRcMgpST271S2rz2JqdzEoBs70n1ksFVcPQu2byfttYWUnTqF2/Bh6J57Dqd27awQ9cXEZsWyeO9idul30c6jHbP7zGZU21G2t52QclDzlIr+DoQ99Jik9fj2b14Nd2yRwtKKhkx6Nh9NJ9/ckOnqzpqdyOiuAXi2sKEvIJegTkIhhPAEHgFuB5yADMAFCAB2AiuklFvqJWILUELRsBScLeWPL49y5kgWug6ejLq7K146y5N90mAg+4svyFy2HFlWhu/DD+Fz772IetiOklLyV/Jf/GfvfziVe4o+/n2Y02+ObSW8Kzgbb26m9BmUF0Pn8Voeo90QZRFiA5SVm9gVd3FDpkEdfIiMCGBsuK7BGjLVlroKxUbgU+AnKWXOBa/1BaYAR6SUK60cb51QVU+Nh5SS47v0/PW/E5SXmeg/IYReY9tib4X9WkNaOmkLF5K/bh3OnULRvfRSvVRHAZSbyvnu5HcsO7DsXA+Mx/vaWMK7gsIs2PPhP82UWvfTSmu7/gsaq4Ws4jxMJsmhpBzWX9CQqWebVkRGBDAuXEeof/01ZKotdd56Etr6O1hKmVhfwVkbtaJoPApzS/nrq+Oc2p+BT+uWjJzSlYAQ6ySJ87dsQf/KK5SnpNJq0iT8n3wCe8/6Sew2iYR3BWVFcOhL+PsdbbXh3UHbkup5Ozha11tLYRkn0/PPicahCxoyRUbo6BHs2ahbnhblKMw3962XyOoBJRSNz+mDGWxdfYyivDJ6jGrDwOs74Ohs+bdcU2EhGcuWk/3pp9h7eREw9xk8rr223n659IV6lh1Yxo+nfrTdhHcFJiPE/qQlvlP2QwtfGPgg9L8PWng3dnSKC0jN/ach087TWkOmIE8XxpndbhujgspSoVgOfCyl3FMfwVkbJRS2QWlxOTu/O0XU1mTcfVwYcUcX2kb4WGXskpgYUl+cR0lUFG7DhqGb9yJOwcFWGbsqjmYfZdHeRexKtfGEN2iVUvHbtMT3iQ3g6AZ9psDgR6BV28aOTlEFZwvL2Hw0nfXRerYez6C0UgVVZISOYZ18G6SCylKhiAE6A2eAQkAAUkrZw9qBWgMlFLZFyskc/vj8KGf1RXQZqGPoraEWNUiqQBqNnP3iSzKWLkWaTPg9+gjeU6davbPeufmkZFvyNhbvXWz7Ce8K0mK0LalDqwEJ3SdpeQxdt8aOTHEJisoqKqjS2BybRl5JOS2ctAqqyAgdI7v64+laP/+PWyoUVdYlSinPWCE2q6OEwvYoNxjZ99sZ9q8/g5OrA1fd2sliC/MKDHo9aa++Sv7GTTh36ULgS/Nx7dXLClFXTUXCe/mB5WSVZHFNyDU81ucxgt3rb0VjMbnJWjOlfR9DWQGEjoWrZmlWIba4KlIAYDCa2Hn6/AoqR/uKCiod48ID8PewXgWVOnCnsAmykgvY8vlR0uLyaBvhzdV3dMHDxzoJ1/zNm9G/soDytDS8bp+M3+zZ2Lu7W2Xsqig0FLIqahUfHP4AieT2rrczvcd0fF1t2DK8+KxWKbXzPSjK1CqlrpoFXf6lPKVsHJNJciAx51xvjfis8z2oIiN0hFjoQWVVoRBCxJp/XC6lXGZRZNXPFQY8DvgCm6WU71Z3jxIK28ZkkkT9mcSO708DMOj6DlY7qGcsKCTj7bc4+/kXOPj4EPDcc7hHjqvXXEJaYRrvHX6P7058h5O9E1PCpzAtYhruTvUnUhZjKIaDX/xTKeXTSeu+1+M2cLCs94ii/pFScjytgPVm0ajwoOqqc2fhTd3p3darTuNafUUhhPABBkkpf7nMNR8BE4B0KWW3Ss+PB94C7IEPpZSv12A+O+ADKeV91V2rhKJpkJ9dwp9fHuNMVBb+7dwZOSUM32Dr1JQXH4kidd6LlMbE0nLECHQvPI9j6/o9CxGfG8+yg8tYH78eT2dP7u92P5O7TsbFwTYPVwFgLIfYH2DbEtAfqeQpdQ+42GApsKJKErOL2GCuoFp6Wy+CWtVtlW5pjuINKeXT1T1XxX3DgQLg0wqhEELYA8eBsUASsAft5Lc9sPCCIe6VUqYLIa4HngGWSSm/rC5eJRRNByklJ/em89f/jlNaWE7vyLb0uzYEBytUeMjycrI/+5yMt98GwO+xx/CechfCoX6bF8VkxfD2gbfZnrwd/xb+PNTzIW4MvdF2miZVxTlPqaUQtxWcPaH/vTDwIXC3vpOvwjaxVCj2Syn7XPDc4ZpUPQkhQoCfKwnFYGC+lDLS/HgugJTyQpGoaqxfpJT/qu46JRRNj5ICA9vXnuDoTj2tAlow4s4utO5ct+XzhRiSk9G/soCCP/7AOTyMwJdexrV7/Vf97NHv4a39b3Eo4xDtPNrxaK9HGRcyDjth47mA5P2aYMT8CPZOWve9ITNV971mQF0tPB4CHgY6AKcqveQObJdS3lWDiUM4XyhuAcZLKe83P54CDJRSPnqJ+0cANwHOwGEp5fJLXDcDmAHQtm3bvmfO2GRBlqIaEmOy+ePLo+RllhA+LIghEzvibAUzNSkl+Rs2krZgAeVZWXhPuQu/xx/HroXljrfVzftH4h+8feBtTuacJMw7jMf6PMbQoKG2eQajMlmntLMYB1eDsQzCr4ehs6B1/dinKBofS0wBvdC2hJ6p9FK+lDK7hhOHcL5Q3ApEXiAUA6SUM2v2VqpHrSiaNoZSI7t/juPQpgRcPZwYPrkzHXv7W2VsY34+6f/5Dzmr1+DYpg2Br7yM26BBVhn7svOajPwa9yvLDy4nuSCZvgF9mdVnFr3866+M12rkp8Gud2HPSijNg/ZXa5VSHUaq0torjLoKRUspZUE1A1/2GmtuPVWHMgW8skg/k8eWz4+SmViAS0tH7nxpEC5u1jloVLRnDynPP4/hTILmG/XUnHotpa3AYDSw9sRa3j/0PlklWYwIHsHMPjPp7NW53ue2mJI82LcKdqyAAj04tYSbP9Tca5VgXBHUVSg2AweBH4B9UspC8/MdgJHAJLRKpLWXGSOE84XCAS2ZPRpIRktm3yGljK7TO6sCtaK4cjAaTRxYn8Cen+NwcXdk1JQw2nWzjg2IqaSEjHfeIXvVxzj4+aF7aT7uI0ZYZezqKDIU8UXsF6yKWkWBoYBrO1zLI70eoY17mwaZ3yLKS+HQGtj2H620NrAXjJgLnSOVYDRxLHGPvRa4ExgCeANG4CjwC7BSSqm/zL2rgRFoZyDSgHlSypXmMZeiVTp9JKV8tS5vqor51IriCiUjIZ9NH8eQnVJIxLAghtwcipOLdaqIio8cIfXZZyk9cRKP668jYO5cHLysk0ivjtzSXFZGreTL2C8xmozc3PlmHujxAH4t/BpkfoswGuDwV7D1TSUYVwiWVj19BmwFtkkpY6u7vrFRK4ork3KDkd0/xnFgUwIePi6MmRZOYGgrq4xtKisj6733yfzvf7H39ET3wgt4jI+0ytg1Ia0wjfcPv8+3J77F0c6Ru8Lv4t5u99r2ob0KKgTjz39DzhklGE0YS4ViFHAVMAytAuoA8JeU8i1rB2oJakXRPEg5kcPmT2LIyyqh99i2DLyuA/aO1ik5LTl2jNRnn6MkOhr3sWPRvfgCDn4N9+0+IS+BKb9NIbskGy9nLx7u9TC3dL7Fts9gVGA0aFtSW9/UBCOotyYYncYpwWgiWKNntj3QHy038SBQLKXsatUorYRaUVz5lJWUs33tSWK2peDT2o0x94TjG2ydb9+yvJysVavIfGcZwtWVgLnP4HnDDQ1azhqdFc2iPYvYm7aXDp4deLLfkwxrPcz2S2pBCUYTxtIVxWbADdgB/IW2BZVu9SgtRK0omh/xRzL5/bOjlBYaGHBde3qPbYudlZq9lJ6OI/X55ynevx+3YcMIfGk+jkFBVhm7Jkgp+T3xd5bsW8KZvDMMChzEnH5z6OLdpcFisIiLBKOPWTDGKsGwUSwViiVAX6AU2I6Wr9ghpSy2dqDWQK0omhfFBWX8+eUxTu3PQNfBg9FTw2kVYJ2DdNJk4uwXX5K+ZAkC8H9qDq1uuw3RgE6rBqOBr459xbuH3iW/LJ+JnSbyaK9Hm0bCG8yCsdosGAlKMGwYq5gCCiFaAvcAd/kd0AAAIABJREFUcwCdlNImbSaVUDQ/pJSc2JPG1jXHMZabGHpzKBHDW1ttq6YsKRn9iy9Q+PcOWvTvT+CCV3BqV2WblnojtzSX9w+/z+qjq3G0c+TebvcyNWIqrg5NpC+2Egybx9IVxaNoiey+aF3utqIls3+3dqCWoLaeFAVnS/j901gSY8/SNtybkVPCaOllne8zUkpyv/mGtDf+jTQYNJPBqXcj7Ou/RWVlEvISWLJvCZsSNuHfwp/H+zzOhA4TbN9DqoILBaN1X00wQscowWhkLBWKp9DEYZ+Usrwe4rMqakXRvJFSEvVnMn9/cxJ7RzuGT+5Mp/7W6aYHYEhLQz//JQq2bMGlZw+CFizAuVMnq4xdG/al7ePNPW8SnRVNmHcYT/V/iv66/g0eR50pL9ME469FmmA4tYTr34awG8C+CVR5XYGoDneKZkdOWhGbPo4hLS6Pjn38GXFHF1xaWscCREpJ3i+/krZgAcbcXBwCA+nww/cNYgNSGZM08cvpX3hr/1ukFaUxqs0onuj3BO08GnZbzCLKy2DFYMhLgvIS8AiGgTOgz1Rwtc45GUXNaBZCobaeFBdiMpo4sDGB3T/F4eLmyMgpXQnpbr1WpeVZWZy+7nqM2dnYeXjgPWUK3ndPwd7T02pz1ISS8hI+i/mMD498SJmxjMldJ/NgzwfxdG7YOCzCZILj67Te3vF/gaMb9L4TBj6oLM4biGYhFBWoFYXiQjIS89m0SrMACb8qiKG3WM8CBKA4KprM996lYNNm7Nzc8LrrLrynTW0wK5AKMoszWX5wOd+e+BY3Rzce7PEgt3e9HUd766ykGozUw5pgHFkLpnLocg0MehhCrlJ5jHpECYWi2WM0mNj102kObEjAwcmOO+YPwt3bum1KS44dI/O998hftx7h6orX5Mn43HsPDr7WW8XUhONnj7N472L+TvmbNu5teKLvE4xuO7ppHNirTL4e9nwIez+CoizQ9dAEo9vN4ODU2NFdcSihUCjMrPn/9u48PKry7OP4904y2UMSkhDMwiokkgCy44ZSF3YFVMBdVARbWqrStyq9rNatdXutWhWQxZVFQY2AWJdW7FtFEAQCBAibJCRA9oXsed4/TsCAYQg4mTNJ7s915ZrMMHPOHSDzm+c822NrycsqJSDEl9G/6U1UB9f3K1Skp5Mzew5FK1civr6ETbieiDvvwhHtmn01Gus/mf/hufXPkV6QTohvCG+PfJsuoV3cWoNLVJVZ60l9+yocSYPgaBgwBfrfAUGuWU1YaVAodYLczBJW/GMT5aXVDLsryaX9FvVV7ttHzuw5FKakIN7ehF13LRF33eXWGd7VtdVc8+E1ZJZkIiJMTprMlF5Tms/8i/qMgd1fWHti7P4CfPyh10SrldHOI1cUalZaRVBoZ7Y6E6WFFaz8x2ZyDhQzZFJ3ki+Na7JzVR44QO6cuRR8+CEAYWOvIeLuu/GNd9/+EzllOTy//nk+3vMxscGxPDjwQS6Nv9Rt53e5w2lWP8bmJdZoqa6XwwW/tm6b2yU2D9EqguIYbVGoxqosr+af87ayf0su51/ZgQvHdUW8mu5NpurgQXJff52C997H1NYSOmYMEVPvxq9z5yY758nWZa/j8W8fZ0/hHobGD+WBgQ8QE+y+Fo7LleZafRjr5kLJIYhKhMH3WC0NRzNsNdlIg0KpU6itqeXrpbtI/SqTrn2juOL2Hvj4Nu1s66pDh8mbP4/8xUswVVW0GTmSyGlT8Tv33CY97/Hz11Tx1va3eG3TawBM7TWVW3vc2vxGR9VXXQGpy+Hbf0D2FvDygaAouH4hxA0EN67P1VxpUCjlhDGGHz4/wH+XpdO+SxtG3tOLgJCmH1VTnZND7oIF5C9ajCkrI2TYMCLvmYZ/gntWiD1YcpC/ffc3vjzwJV1DuzJr8KzmNbu7IcbA/v+DpbdCWT6YWmsSX9JYa7RUTB+9NHUKGhRKNUL694f5fOE2gsL8GDO9t8tWoT2d6vx88ha+Qf7bb1NbWop3WBidP/oQR3S0W87/1YGveOq7p8gsyWRMlzHc1/8+IgPcO6S3SVQUw45PIHUZpH8BtVUQ3skKjKTxEJ2koVGPBoVSjZS9p5CVr2zGGMPIe3oR46LtVhujprCQPePGU52djXdoKDFPP03wJRe75dxl1WXM3TyXBVsXEOATwIw+M7iu+3V4e7l30cMmU5YP21dYobF3DZgaiEyA5PFWcES6f70uT9MqgkJHPSlXKTxylI9f2kRxXjlX3N6Dbv3d88keYP8tt1JbVoapqKAiPZ2IaVOJmj7dbavU7incw5PfPsna7LUkRyTzpwv+RFJEklvO7TYlR2D7R5D6gXWZCgPte1qtjOTxVqujFWoVQXGMtiiUK5SXVLHqtc1kpRdywbiu9Lmqg1tnNteWlZH92OMULl9O4MCBxDz7DI527pmwZ4xh1d5VPLPuGfLK85iYMJHf9v0tbXzbuOX8blWUBds+tFoaGeusx2L7Wa2MHmMhNNbe+txIg0Kps1BdVcOXb2xn1/rD9LgkhksndXfZVquNVfDBh2Q/+ihewcHEPvsMQYMHu+3cxZXFvLzxZRbvWEy4XzgzB8xkVOdRzW8pkMbK3w9bP7BCI3uz9ViHC61Wxual4O0Lk1faW2MT0qBQ6iyZWsO3KXvYsHo/HZLaMmxKsksXFGyM8p07yfz9vVTu3Uvk9N8QOW2aWzdM2pq7lce/eZzU3FQGth9IaVUpAT4BLBi+wG01uF1OOmxdbg25PbLdesw3yNovI7oHtKv7CmnfYjrENSiU+oW2fp3JV4t20jYmiNG/6e2ynfMaq7a0lKxHH6Uo5WOCLryAmGeewSfCfesc1dTWsGzXMl7Y8AIllSVEB0az/JrlhPi6dw8OWxzaBu9OsEZR+fhZE/uOCQiHdkknhke788C/+V2m06BQygV+3JrL6jmp+Ab4MHp6byLjgt16fmMMBe+/z6HHHsc7NJTY558jcIB75z3kluVybcq15JbnEu4Xzj3n38N13a/D4dWMJ+s1xoJR1u3kldZs8MNb4fB2OLQVDm+zvq8s+en5oR3qwuO8n4IkottPq97WP56H0KBQykVyMopZ8fJmKsurGT4lme9X7wdg3P193VZDeVoamTN+T+WBA0TNmEHElLsQN848nrx6MqVVpQT7BrMuex2d2nTivn73cVn8ZS23/+J0amuh8McTw+PQNsjdZe2pAdZs8cjuVnhkrLcWNbzqcWupEUegdesb+NP3jkBo7PBkFwRPsw4KEQnC2rP7z8aYFad7vgaFamol+eWseHkzeVmltIn0JyjUz61BAVBTUkL2ww9TtOoTgoZcQszf/ua2jZImr54MwPxh8/kq4yueW/8c+4r20T+6PzP7zyQpsoUNp/0lqiutsDi0zWqFHNpmhUjhgca93tu3LjgCnQRKgDWhULzh9hXQ9uzWDrMlKERkPjAaOGyMSa73+HDg74A38Lox5q+nOc5fgFJgqwaF8hSVZdV8OjeVH7flERjqy5V3JNG+Sxt8HO7rZDbGkL9oEYef+iveERHEPv88gX37uO38x1TVVrF853Je2fQKeeV5jOoyit/1+V3zXmywqc0bZq1PNepZqDpq7blRWWrdHrt//PujDTxWBpX1Hi89DLU1cMdq6HB2I+PsCoohQAnw5rGgEBFvYCdwJZABrANuwAqNp046xB1ALyAS8AdyNCiUJ6mpqeXNh/7L0cJKALx9vGjfpQ2xCeHEdg8nunMbvH2a/pJQWepWMu+9l6qsLNrdey9t75hsyyWgksoS5qfO581tb2KM4eYeN3NXz7taR4f3mXJ1H0VzvvQkIp2AFfWC4gLgEWPMsLr7DwIYY04OiWOvfwIIAnoAZcA4Y0yts3NqUCh3+uC5DdTWGPoN70jGznwyd+STk1ECBnwcXrTvGkpcohUcUR1D8G6ieRg1RUVkzZpF8WefE/yrXxHz1JN4h4Y2yblOJ6ski5c2vsTHez5uXR3edmphQXEdMNwYc1fd/VuAQcaY6ac5zu04aVGIyN3A3QAdOnTot3//flf9CEo59cFzG4ATO7PLS6s4uKuAzB35ZO7MJzezFACHnzfnnBtGbEIYcQnhRMaH4HXS/hcNHa+xjDHkv/UWh555FkdUFLEv/C8BvXqx/5ZbAej41ptn9TOerW2523h2/bPHO7zv7XcvQ+OHtt4Obw93qqBw76yhuloaeOy0aWWMWXiaP58DzAGrRXFWlSnlIv5BDrqcH0WX86MAKCuuJHNnAZl1LY5vlucC4BvgQ0y3MGK7hxGXGE5EzC8bbisitL31VgLOP5/M39/LvptuJvoPMzHG2PLm3COiB/OumseajDU89/1zzPjXDPpF9+MP/f9wQof3sc7xFj2BrxmzIygygPr7P8YBB11x4HqLArricEo1SmM++QeE+HJuv3ac289aq6m0sKIuNKxWx77NOYAVMAB+gT4U5ZTRJvLsdmgL6NWLzsuXcfDBhzj05FN4h4fj27HjWR3rlxIRLo2/lItiL2LZzmW8sukVJq2cpB3ezYgdl558sDqzLwcysTqzbzTGbHXVObWPQjU3JfnlZO7IJ2NnAbu+O0RNtdUNFxEbTOfekXTuHUlUh5AzbhUYY8ibv4DDzzwDIrQZMYKwiRMJHDjAtss/DXV4d37sXQKqhGErv7OlJmWxa9TTIuAyrFFLh7DmQcwTkZHAC1gjneYbY55w0fl0mXHV7H3w3AaqK2voNiCavZtyyEovwBgICvOjcy8rNGITws9oNNXym14kMut7okvSqC0qwrdzZ8ImTiBs7Fi8w9y330Z92aXZvLTxJVJ2pxBUDldtc/DIC+vxEt2y1C7NesLdmdIWhWrOTu7MLiupZP+WXPZuyuHHbblUV9bi8PemY1IEnXtH0iEp4vglq1NZNOVdACa+OI6iT1ZTsGQJZZs2Ib6+hAwfRvikSQT06WNLK2Nb7jYemncDu6NrGXzOYJ665KmWsbteM+RJndlNRvsoVEsUEOxL4gXnkHjBOVRX1pCRls/eTUfYuyWX9O8P4+UlnNMtzLpE1SvSab+GV0AAYePHETZ+HOVpaRQsXUrhRykUpXyMX7dzCZswkdBrrsa7jfMF7Vw5iuq88ESmf+ZDelQ1yy/ewLV543nikie5OPaX7exn10ivlkhbFEp5mMYOjzW1hkP7iti7KYe9m46Qn30UaLhf41iL4oa5N/7sOLWlpRSuWkXBkqWUp6Yi/v60GTmS8IkT8O/Vq8FWxtm+CRtjqMo8SHnqFsq2bKF8SyrlW7dSW1p6/DlHA73YHWUI6pHE4EsmEZSUjF+XLojjzOZgaFCcuVZx6Un7KFRrVnDoqBUam4+QvbvwhH6Ng+kF+AX6MH5mP6fHKEvdSsGSJRSuXIk5ehS/xETCJ02kzegxeAcHHX9eY9+Eq3NyjgdCWap1W5OfD4A4HPglJhLQM5n0zz6g2kfoddf9lG7byo8b1hB8IBffurX0xOHA99xz8U9MxP+8RPwSEvFPTHA6oVCD4sy1iqA4RlsUqrUrK65k35Zc9m46woFteVRX1eLw82bc/X2J6nD65TRqSkooWrGC/MVLqEhLQwIDCR09mrCJEwhISmrwTbimuJjy1FTKtqRSvmULZampVGdlWX/o5YVf16749+xJQM9k/JN74pfQHS9fa8ntT0cNBDhh1NPnez7l1RUPE5tVxSTvQcRlVVGelkZNbu7x5zhiYvBLTMQ/MRG/86xbR1wcIqJBcRY0KJRqpaora1jyxDqKcsowBvpcGc+AUZ3x8T394oXGGMo3byZ/yVKKVq3ClJfjn5xMbUkJ4u9P2Phxx4Ohct++469zdOhAQHLyT8Fw3nl4BQWd8jwNBQVYS4E88PUDbDi8gau7Xs2sQbPwLSilPC2N8rQ0KrZbt5X79lnLfANewcH4JSRQlZGBIyaGTovePfO/tFaqVQSFXnpSqmHWelS1hLcPYvt/swhtF8DQmxOJ7d74Zclriooo/CiFgqVLqNiVfvxxn3btTmgpBCQnnfGQW2ef/qtrq5m9eTZzNs8hPiSep4c8TY+IHic8p7asjIpdu6zwSEujfHsaRzdupKSNg4HfbT6jWlqzVhEUx2iLQqkT1e8gP5CWx7/fTqMop5wel8Rw4fhz8Qto/ABIYwwpk57Gp+ooV736axzR0b+4vsZcJlqXvY4Hvn6AvPI87ut3Hzefd7PT4bzfDexFcFEV3b76Ckd0u19cY2twqqDQmS1KtTLxiW2Z9PAgzr8inu3/OciiR75lzw9HGv16EeFom3iKIhJcEhJgBcTp+hIGtB/A+2Pe5+KYi3l63dNM/3I6eeV5p3x+UZjV/5E3f75LamzNNCiUaoUcvt5cdF03rv1jf/yDffnktS2snrOF0sIKu0tzKtw/nBd/9SIPDHyAbw5+w3Up17E2a22Dz61xeFEa7EP+kiVU5506UNTptaigEJExIjKnsLDQ7lKUahaiO7Xh+of6M+iaLuzdnMOiR9ey/b8H8eRL0iLCTefdxKJRiwhyBDHln1N4ccOLVNVW/ey5ReG+mIoK8ha+8YvPO3n15OOr3LY2LSoojDEfG2PuDrVpsxalmiNvby/6j+jEpD8NpG1MEF++mUbK33+g8EiZ3aU5ldA2gSWjlzD23LHM3TKXyasnk1mSecJzqn29CRk+jPx33qFGP0CetRYVFEqpho27v+9pZ3qHtw9i3H19ufSG7hzaV8Tix9byw+c/Ulvrua2LQEcgf7noLzw95GnSC9K5PuV6Pt336QnPiZw2jdrSUvLeecemKps/DQql1HHiJSRfGscNDw8iLiGc/3s/nWV/W29t7dqEPnhuw/GRWWdjROcRvDfmPTqFdmLmVzN55L+PUOltBZx/QgLBQ4eS/8ab1JSUnuZIqiEtKii0j0Ip1whp68/IX/fiqjuTKM4r570n1/HtR7uprqqxu7RTig+J540Rb3BH8h0s27WMv19RwXedqskpyyFy2lRqCgspWLLY7jKbpRYVFNpHoZTriAjdBkRz458H021gNN9/sp+lT6zjYHqB3aWdksPLwb397mX2lbPJD3ewdGAVQ5cOZfKBp8jrGc+heXOpLjtqd5lNoik721tUUCilXM8/2MEVt/dgzG97U11ZywfPbqC8bQd8uyXYXdopXRhzIT0je9KjbQ9+1+d3OLwcvNg7C8kr5LFZlzLrP7NYvW81RZVFttX4Sy+3uVOL2o9CKdV0OiRFMOnhgaxN2cPmLzMoL61i98bDdDk/yrZtVZ0REQIdgUzpNYUpvaZQ8KsC9my8kTHfZHFf33+RsjsFb/GmT7s+DIkbwpC4IXQJ7XLKn2XSS3W7NQ934w/hIbRFoZRqNF9/Hy6Z0J3I+GC8vITVs1NZ9cpminI9eygtQJh/GN1//xBB+eV84DuDN4a/weTkyRRVFvH8988z9qOxjFg+gse/fZw1GWsory63u2SPoS0KpdQZ8/X3IapDCJ17RfHdij0senQtA0Z3pvfl8Xh7e+7nz6CLL8I/OZn8ufPoM34VfaP7MqPvDLJLs1mTsYavM74mZXcKS3Yswc/bj4HtBx5vbXi6pmzxtKig0K1QlXIfEaHPVR3o2i+Kr5fs4pvlu9m59hCX3ZRA+y6eOaBERIi8ZxoZv5lO0SefEDpmDADtg9ozIWECExImUFFTwfrs9azJWGOFR+bXPLH2CaKHCSO3OBhm889gB8+N/rOgo56Ucr82EQGMvKcnI6b2pLy0imXPfM+/391BxdGfL6nhCYKHDsWvWzdyXpuNqdvDoj4/bz8uir2IBwc9yKrxq/ho7EfM7D+T/CAH/+nW0YaK7deigkIpZQ8RoUufKG58ZBC9h8az7etM3nlkLTvXZXvculHi5UXEtKlU7t5N8WefO3+uCF1Cu3Bb0m0EVZx646WWToNCKeUyvv4+XDyhG9c/OICQcD8+m7eNj1/8gYL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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "wilsonloop2_j,aver_wilsonloop2,error_wilsonloop2 = jackknife(wilsonloop2)\n",
    "showwilsonloop(aver_wilsonloop2,error_wilsonloop2,plotr=np.arange(5),yscale=\"log\",xlabel=\"$\\hat{t}$\",ylabel=\"w(t,r)\",title=\"time-like wilson loop\",filename=\"wilsonloop2.pdf\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "wilsonloop2_mass,aver_wilsonloop2_mass,error_wilsonloop2_mass = effectivemass(wilsonloop2_j)\n",
    "showwilsonloop(aver_wilsonloop2_mass,error_wilsonloop2_mass,plotr=np.arange(5),xlim=(0,10),ylim=(0,2),xlabel=\"$\\hat{t}$\",ylabel=\"$\\hat{V}(t,r)$\",title=\"time-like wilson loop\",filename=\"wilsonloop2_V.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* wilson loop 3 for off-axis time-like. the first nr is for $\\sqrt{2}$ off-axis and the next nr/2 is for $\\sqrt{5}$ off-axis and the rest nr is for $\\sqrt{3}$ off-axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "lengthr = np.concatenate((np.sqrt(2)*np.arange(1,25),np.sqrt(5)*np.arange(1,13),np.sqrt(3)*np.arange(1,25)))\n",
    "sort_idx = np.argsort(lengthr)\n",
    "wilsonloop3_j,aver_wilsonloop3,error_wilsonloop3 = jackknife(wilsonloop3)\n",
    "showwilsonloop(aver_wilsonloop3[:,sort_idx],error_wilsonloop3[:,sort_idx],plotr=np.arange(5),yscale=\"log\",xlabel=\"$\\hat{t}$\",ylabel=\"w(t,r)\",title=\"off-axis time-like wilson loop\",filename=\"wilsonloop3.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "wilsonloop3_mass,aver_wilsonloop3_mass,error_wilsonloop3_mass = effectivemass(wilsonloop3_j)\n",
    "showwilsonloop(aver_wilsonloop3_mass[:,sort_idx],error_wilsonloop3_mass[:,sort_idx],plotr=np.arange(5),xlim=(0,10),ylim=(0,2),xlabel=\"$\\hat{t}$\",ylabel=\"$\\hat{V}(t,r)$\",title=\"off-axis time-like wilson loop 3\",filename=\"wilsonloop3_V.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* show the potential $V(r)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "nr = 24\n",
    "choicet=3\n",
    "Vr = np.concatenate((aver_wilsonloop2_mass,aver_wilsonloop3_mass),1)\n",
    "Vr_err = np.concatenate((error_wilsonloop2_mass,error_wilsonloop3_mass),1)\n",
    "lengthr = np.concatenate((np.arange(1,1+nr),np.sqrt(2)*np.arange(1,1+nr),np.sqrt(5)*np.arange(1,1+nr//2),np.sqrt(3)*np.arange(1,1+nr)))\n",
    "sort_idx = np.argsort(lengthr)\n",
    "lengthr=lengthr[sort_idx]\n",
    "Vr=Vr[:,sort_idx]\n",
    "Vr_err = Vr_err[:,sort_idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.figure()\n",
    "lent= 9\n",
    "plt.title(\"static potential\")\n",
    "plt.xlabel(\"$\\hat{r}$\")\n",
    "plt.ylabel(\"$\\hat{V}(r)$\")\n",
    "plt.ylim((0,1))\n",
    "plt.xlim((0,5))\n",
    "plt.minorticks_on()\n",
    "plt.tick_params(direction='in', length=3, width=0.5, colors='k',\n",
    "               grid_color='r', grid_alpha=0.5,axis=\"both\",which=\"both\",top=True,right=True)\n",
    "plt.tick_params(length=5, width=1,which=\"major\")\n",
    "#plt.grid()\n",
    "plt.errorbar(r[:lent],Vr[choicet,:lent],Vr_err[choicet,:lent],label=\"V(r)\",fmt=\"o\")\n",
    "plt.legend()\n",
    "plt.savefig(\"Vr.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* fit the static potential"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lsqfit\n",
    "import gvar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_Vr(p):\n",
    "    global choice_r,choice_t\n",
    "    t = choice_t.reshape(-1,1)\n",
    "    r = choice_r.reshape(1,-1)\n",
    "    vr = p[0]+p[1]/r + p[2] * r\n",
    "    return p[3:].reshape(1,-1)*np.exp(- t * vr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "conc_wilslp=np.concatenate((wilsonloop2,wilsonloop3),axis=2)\n",
    "conc_wilslp = conc_wilslp[:,:,sort_idx]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "nconf = conc_wilslp.shape[0]\n",
    "tmp=gvar.gvar(np.average(conc_wilslp.reshape(nconf,-1),0),np.cov(conc_wilslp.reshape(nconf,-1),rowvar=False)).reshape(conc_wilslp.shape[1:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "0.0983(24)\n"
    }
   ],
   "source": [
    "choice_t=np.arange(3,6)\n",
    "choice_r = lengthr[:15]\n",
    "p0=[0.5 for i in range(3 + len(choice_r))]\n",
    "fit = lsqfit.nonlinear_fit(data = tmp[choice_t-1,:len(choice_r)],fcn=fit_Vr,p0=p0)\n",
    "r0 = np.sqrt((1.65+fit.p[1])/fit.p[2])\n",
    "a =  0.5 / r0\n",
    "print(a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "Least Square Fit (no prior):\n  chi2/dof [dof] = 4.6 [19]    Q = 1.1e-10    \n\nParameters:\n              0    0.6740 (88)      [ 0.5 +- inf ]  \n              1   -0.3102 (63)      [ 0.5 +- inf ]  \n              2    0.0518 (29)      [ 0.5 +- inf ]  \n              3    0.8754 (28)      [ 0.5 +- inf ]  \n              4    0.6377 (25)      [ 0.5 +- inf ]  \n              5    0.4573 (22)      [ 0.5 +- inf ]  \n              6    0.6492 (40)      [ 0.5 +- inf ]  \n              7    0.4372 (27)      [ 0.5 +- inf ]  \n              8    0.3240 (29)      [ 0.5 +- inf ]  \n              9    0.4090 (46)      [ 0.5 +- inf ]  \n             10    0.1630 (22)      [ 0.5 +- inf ]  \n             11    0.2470 (47)      [ 0.5 +- inf ]  \n             12    0.1454 (27)      [ 0.5 +- inf ]  \n             13    0.1249 (26)      [ 0.5 +- inf ]  \n\nFit:\n      key           y[key]        f(p)[key]\n-------------------------------------------\n      0,0     0.25262 (44)     0.25155 (39)  **\n      0,1     0.13119 (34)     0.13083 (31)  *\n      0,2     0.07947 (27)     0.07914 (24)  *\n      0,3     0.10132 (36)     0.10028 (31)  **\n      0,4     0.06259 (25)     0.06198 (22)  **\n      0,5     0.03873 (22)     0.03840 (20)  *\n      0,6     0.04695 (34)     0.04631 (28)  *\n      0,7     0.01662 (13)     0.01647 (11)  *\n      0,8     0.02280 (29)     0.02215 (23)  **\n      0,9     0.01258 (13)     0.01240 (11)  *\n     0,10     0.01034 (11)    0.010162 (90)  *\n      1,0     0.16718 (48)     0.16600 (42)  **\n      1,1     0.07710 (32)     0.07716 (28)  \n      1,2     0.04417 (23)     0.04410 (19)  \n      1,3     0.05521 (33)     0.05380 (24)  ****\n      1,4     0.03291 (20)     0.03232 (17)  **\n      1,5     0.01909 (17)     0.01886 (14)  *\n      1,6     0.02274 (27)     0.02241 (17)  *\n      1,7    0.007767 (98)    0.007674 (70)  \n      1,8     0.01007 (23)     0.00992 (13)  \n      1,9    0.005499 (90)    0.005456 (68)  \n     1,10    0.004446 (73)    0.004403 (54)  \n      2,0     0.11080 (49)     0.10954 (41)  **\n      2,1     0.04541 (29)     0.04551 (23)  \n      2,2     0.02462 (20)     0.02458 (15)  \n      2,3     0.03031 (32)     0.02887 (18)  ****\n      2,4     0.01742 (17)     0.01685 (12)  ***\n      2,5     0.00952 (14)    0.009265 (93)  *\n      2,6     0.01121 (26)     0.01084 (11)  *\n      2,7    0.003675 (90)    0.003574 (46)  *\n      2,8     0.00457 (23)    0.004439 (74)  \n      2,9    0.002452 (83)    0.002401 (42)  \n     2,10    0.001961 (66)    0.001907 (34)  \n\nSettings:\n  svdcut/n = 1e-12/0    tol = (1e-08,1e-10,1e-10*)    (itns/time = 15/0.0)\n  fitter = scipy_least_squares    method = trf\n\n"
    }
   ],
   "source": [
    "print(fit.format(True))"
   ]
  }
 ]
}